How to solve (59653)/(24)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (59653)/(24) | Equatix

Question

$$\frac{ 59653 }{ 24 }$$

Evaluate

$\frac{59653}{24}\approx 2485.541666667$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $59653$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)59653}\\\end{array}$$

Since $5$ is less than $24$, use the next digit $9$ from dividend $59653$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)59653}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $59653$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)59653}\\\end{array}$$

Find closest multiple of $24$ to $59$. We see that $2 \times 24 = 48$ is the nearest. Now subtract $48$ from $59$ to get reminder $11$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)59653}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}11\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $59653$

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)59653}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}116\\\end{array}$$

Find closest multiple of $24$ to $116$. We see that $4 \times 24 = 96$ is the nearest. Now subtract $96$ from $116$ to get reminder $20$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{24)}024\phantom{6}\\24\overline{)59653}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}116\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}20\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $59653$

$$\begin{array}{l}\phantom{24)}024\phantom{7}\\24\overline{)59653}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}116\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}205\\\end{array}$$

Find closest multiple of $24$ to $205$. We see that $8 \times 24 = 192$ is the nearest. Now subtract $192$ from $205$ to get reminder $13$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{24)}0248\phantom{8}\\24\overline{)59653}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}116\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}205\\\phantom{24)}\underline{\phantom{9}192\phantom{9}}\\\phantom{24)99}13\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $59653$

$$\begin{array}{l}\phantom{24)}0248\phantom{9}\\24\overline{)59653}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}116\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}205\\\phantom{24)}\underline{\phantom{9}192\phantom{9}}\\\phantom{24)99}133\\\end{array}$$

Find closest multiple of $24$ to $133$. We see that $5 \times 24 = 120$ is the nearest. Now subtract $120$ from $133$ to get reminder $13$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{24)}02485\phantom{10}\\24\overline{)59653}\\\phantom{24)}\underline{\phantom{}48\phantom{999}}\\\phantom{24)}116\\\phantom{24)}\underline{\phantom{9}96\phantom{99}}\\\phantom{24)9}205\\\phantom{24)}\underline{\phantom{9}192\phantom{9}}\\\phantom{24)99}133\\\phantom{24)}\underline{\phantom{99}120\phantom{}}\\\phantom{24)999}13\\\end{array}$$

Since $13$ is less than $24$, stop the division. The reminder is $13$. The topmost line $02485$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2485$.

$$\text{Quotient: }2485$$ $$\text{Reminder: }13$$

Show Solution

Factor

$\frac{11 ^ {2} \cdot 17 \cdot 29}{2 ^ {3} \cdot 3} = 2485\frac{13}{24} = 2485.5416666666665$

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Steps For Long Division Method

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